Question

A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filling ice-cream cones of radius 2 cm and height 7 cm up to its brim. How many children will get the ice-cream cones?

विकल्प

• 163

• 263

• 363

• 463

Answer 1

363

Explanation:

The edge of the cubical ice - cream brick = a = 22 cm

Volume of the cubical ice - creaam brick = (a)³ 

`= (22xx22xx22) "cm"^3`

Radius of an ice- cream cone = 2 cm

Height of an ice - cream cone = 7 cm

Volume of each ice - cream cone `= 1/3pi"r"^2"h" `

`= (1/3xx22/7xx2xx2xx7) "cm"^3`

Number of ice - cream cones `= "Volume of the cubical ice cream brick"/"Volume of each ice cream cone"`

`= (22xx22xx22xx3xx7)/(22xx2xx2xx7)`

`=363`

Hence, the number of ice cream cones is 363.